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Finding the Third Proportional to 817.17 and 1,786.22

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Solution

The third proportional to 817.17 and 1,786.22 is: 3,904.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.17 : 1,786.22 = 1,786.22 : x
  2. Step 2: Convert to fraction form
    817.17/1,786.22 = 1,786.22/x
  3. Step 3: Cross multiply
    817.17x = 1,786.22 × 1,786.22
  4. Step 4: Simplify right side
    817.17x = 3,190,577.42
  5. Step 5: Solve for x
    x = 3,190,577.42/817.17
  6. Step 6: Final answer
    x = 3,904.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.